Stability of peakons and linear dispersion limit for the periodic Dullin–Gottwald–Holm equation

DOI10.1063/1.3120914zbMath1309.76040OpenAlexW2071348631MaRDI QIDQ5246555

Lixin Tian, Jiuli Yin

Publication date: 21 April 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3120914

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (5)

Classification of bounded travelling wave solutions for the Dullin-Gottwald-Holm equation ⋮ Orbital stability of the sum of \(N\) peakons for the Dullin-Gottwald-Holm equation ⋮ The limiting behavior of smooth periodic waves for the Degasperis-Procesi equation ⋮ Towered waves and anti-waves in the generalized Degasperis-Procesi equation ⋮ Classification of travelling waves in the Fornberg-Whitham equation

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